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1226157372 = 2233112101929
BaseRepresentation
bin100100100010101…
…1010110100111100
310011110020020201000
41021011122310330
510002344013442
6321400450300
742246110556
oct11105326474
93143206630
101226157372
1157a152200
122a2779990
1316705240b
14b8bbc4d6
15729a5d4c
hex4915ad3c

1226157372 has 144 divisors (see below), whose sum is σ = 3532586400. Its totient is φ = 367488000.

The previous prime is 1226157337. The next prime is 1226157377. The reversal of 1226157372 is 2737516221.

1226157372 is a `hidden beast` number, since 1 + 2 + 2 + 615 + 7 + 37 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226157377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319404 + ... + 1320332.

It is an arithmetic number, because the mean of its divisors is an integer number (24531850).

Almost surely, 21226157372 is an apocalyptic number.

1226157372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226157372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766293200).

1226157372 is an abundant number, since it is smaller than the sum of its proper divisors (2306429028).

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

1226157372 is a wasteful number, since it uses less digits than its factorization.

1226157372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1046 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 1226157372 is about 35016.5299822812. The cubic root of 1226157372 is about 1070.3243468923.

The spelling of 1226157372 in words is "one billion, two hundred twenty-six million, one hundred fifty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 101 108 121 132 198 202 242 297 303 363 396 404 484 594 606 726 909 929 1089 1111 1188 1212 1452 1818 1858 2178 2222 2727 2787 3267 3333 3636 3716 4356 4444 5454 5574 6534 6666 8361 9999 10219 10908 11148 12221 13068 13332 16722 19998 20438 24442 25083 29997 30657 33444 36663 39996 40876 48884 50166 59994 61314 73326 91971 93829 100332 109989 112409 119988 122628 146652 183942 187658 219978 224818 275913 281487 329967 337227 367884 375316 439956 449636 551826 562974 659934 674454 844461 1011681 1032119 1103652 1125948 1319868 1348908 1688922 2023362 2064238 2533383 3035043 3096357 3377844 4046724 4128476 5066766 6070086 6192714 9289071 10133532 11353309 12140172 12385428 18578142 22706618 27867213 34059927 37156284 45413236 55734426 68119854 102179781 111468852 136239708 204359562 306539343 408719124 613078686 1226157372