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22074834516 = 22373126332233
BaseRepresentation
bin10100100011110000…
…110011111001010100
32002222102200210010120
4110203300303321110
5330202124201031
614050244151540
71411014666060
oct244360637124
962872623116
1022074834516
1193a8739999
1243409985b0
13210a4c4177
1410d5aa0aa0
15892eb1a96
hex523c33e54

22074834516 has 96 divisors (see below), whose sum is σ = 60998074368. Its totient is φ = 6080244480.

The previous prime is 22074834491. The next prime is 22074834521. The reversal of 22074834516 is 61543847022.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 668736 + ... + 700968.

It is an arithmetic number, because the mean of its divisors is an integer number (635396608).

Almost surely, 222074834516 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 22074834516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30499037184).

22074834516 is an abundant number, since it is smaller than the sum of its proper divisors (38923239852).

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

22074834516 is a wasteful number, since it uses less digits than its factorization.

22074834516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32541 (or 32539 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 22074834516 in words is "twenty-two billion, seventy-four million, eight hundred thirty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 263 372 434 526 651 789 868 1052 1302 1578 1841 2604 3156 3682 5523 7364 8153 11046 16306 22092 24459 32233 32612 48918 57071 64466 96699 97836 114142 128932 171213 193398 225631 228284 342426 386796 451262 676893 684852 902524 999223 1353786 1998446 2707572 2997669 3996892 5995338 6994561 8477279 11990676 13989122 16954558 20983683 25431837 27978244 33909116 41967366 50863674 59340953 83934732 101727348 118681906 178022859 237363812 262795649 356045718 525591298 712091436 788386947 1051182596 1576773894 1839569543 3153547788 3679139086 5518708629 7358278172 11037417258 22074834516