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2245214436102 = 2341137101337153
BaseRepresentation
bin100000101011000001001…
…101010111101100000110
321221122021212001212120000
4200223001031113230012
5243241144343423402
64435234241222130
7321132335551341
oct40530115275406
97848255055500
102245214436102
11796210020050
12303179931946
13133952034741
147a95189d458
153d60aaebc1c
hex20ac1357b06

2245214436102 has 160 divisors (see below), whose sum is σ = 5692459585824. Its totient is φ = 655423488000.

The previous prime is 2245214436077. The next prime is 2245214436119. The reversal of 2245214436102 is 2016344125422.

2245214436102 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 214 + 436 + 1 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6490758 + ... + 6827910.

Almost surely, 22245214436102 is an apocalyptic number.

2245214436102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245214436102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846229792912).

2245214436102 is an abundant number, since it is smaller than the sum of its proper divisors (3447245149722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2245214436102 is a wasteful number, since it uses less digits than its factorization.

2245214436102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337316 (or 337307 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2245214436102 in words is "two trillion, two hundred forty-five billion, two hundred fourteen million, four hundred thirty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 101 111 162 198 202 222 297 303 333 407 594 606 666 814 891 909 999 1111 1221 1782 1818 1998 2222 2442 2727 2997 3333 3663 3737 5454 5994 6666 7326 7474 8181 9999 10989 11211 16362 19998 21978 22422 29997 32967 33633 41107 59994 65934 67266 82214 89991 100899 123321 179982 201798 246642 302697 337153 369963 605394 674306 739926 1011459 1109889 2022918 2219778 3034377 3329667 3708683 6068754 6659334 7417366 9103131 11126049 12474661 18206262 22252098 24949322 27309393 33378147 34052453 37423983 54618786 66756294 68104906 74847966 100134441 102157359 112271949 137221271 200268882 204314718 224543898 274442542 300403323 306472077 336815847 374576983 411663813 600806646 612944154 673631694 749153966 823327626 919416231 1010447541 1123730949 1234991439 1259940761 1838832462 2020895082 2247461898 2469982878 2519881522 2758248693 3371192847 3704974317 3779822283 5516497386 6742385694 7409948634 7559644566 10113578541 11114922951 11339466849 13859348371 20227157082 22229845902 22678933698 27718696742 30340735623 34018400547 41578045113 60681471246 68036801094 83156090226 102055201641 124734135339 204110403282 249468270678 374202406017 748404812034 1122607218051 2245214436102