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22203077148 = 223271993731187
BaseRepresentation
bin10100101011011010…
…000001001000011100
32010022101000011221200
4110223122001020130
5330432441432043
614111104555500
71414133020230
oct245332011034
963271004850
1022203077148
11946407053a
124377922b90
13212ac45a95
141108b245c0
1589e3947d3
hex52b68121c

22203077148 has 144 divisors (see below), whose sum is σ = 64691827200. Its totient is φ = 6289633152.

The previous prime is 22203077129. The next prime is 22203077227. The reversal of 22203077148 is 84177030222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18704611 + ... + 18705797.

It is an arithmetic number, because the mean of its divisors is an integer number (449248800).

Almost surely, 222203077148 is an apocalyptic number.

22203077148 is a gapful number since it is divisible by the number (28) 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 22203077148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32345913600).

22203077148 is an abundant number, since it is smaller than the sum of its proper divisors (42488750052).

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

22203077148 is a wasteful number, since it uses less digits than its factorization.

22203077148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 22203077148 in words is "twenty-two billion, two hundred three million, seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 373 398 597 746 796 1119 1187 1194 1393 1492 1791 2238 2374 2388 2611 2786 3357 3561 3582 4179 4476 4748 5222 5572 6714 7122 7164 7833 8309 8358 10444 10683 12537 13428 14244 15666 16618 16716 21366 23499 24927 25074 31332 33236 42732 46998 49854 50148 74227 74781 93996 99708 148454 149562 222681 236213 296908 299124 442751 445362 472426 519589 668043 708639 885502 890724 944852 1039178 1328253 1336086 1417278 1558767 1653491 1771004 2078356 2125917 2656506 2672172 2834556 3099257 3117534 3306982 3984759 4251834 4676301 4960473 5313012 6198514 6235068 6613964 7969518 8503668 9297771 9352602 9920946 12397028 14881419 15939036 18595542 18705204 19841892 27893313 29762838 37191084 55786626 59525676 88107449 111573252 176214898 264322347 352429796 528644694 616752143 792967041 1057289388 1233504286 1585934082 1850256429 2467008572 3171868164 3700512858 5550769287 7401025716 11101538574 22203077148