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22202734372 = 2273136120407
BaseRepresentation
bin10100101011011000…
…101101011100100100
32010022100100202202021
4110223120231130210
5330432344444442
614111053352524
71414130062000
oct245330553444
963270322667
1022202734372
119463956a55
124377798744
13212ab55a60
141108a75700
1589e327e67
hex52b62d724

22202734372 has 96 divisors (see below), whose sum is σ = 49599603200. Its totient is φ = 8639084160.

The previous prime is 22202734289. The next prime is 22202734391. The reversal of 22202734372 is 27343720222.

It is a super-2 number, since 2×222027343722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077793 + ... + 1098199.

Almost surely, 222202734372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202734372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24799801600).

22202734372 is an abundant number, since it is smaller than the sum of its proper divisors (27396868828).

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

22202734372 is a wasteful number, since it uses less digits than its factorization.

22202734372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506 (or 20490 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 34.

The spelling of 22202734372 in words is "twenty-two billion, two hundred two million, seven hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 61 91 98 122 182 196 244 343 364 427 637 686 793 854 1274 1372 1586 1708 2548 2989 3172 4459 5551 5978 8918 11102 11956 17836 20407 20923 22204 38857 40814 41846 77714 81628 83692 142849 155428 265291 271999 285698 530582 543998 571396 999943 1061164 1087996 1244827 1857037 1999886 2489654 3714074 3999772 4979308 6999601 7428148 8713789 12999259 13999202 16182751 17427578 25998518 27998404 32365502 34855156 51997036 60996523 64731004 90994813 113279257 121993046 181989626 226558514 243986092 363979252 426975661 453117028 792954799 853951322 1585909598 1707902644 3171819196 5550683593 11101367186 22202734372